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Finding the Fourth Proportional to 5,183.46, 7,725.18 and 5,175.23

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Solution

The fourth proportional to 5,183.46, 7,725.18 and 5,175.23 is: 7,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.46 : 7,725.18 = 5,175.23 : x
  2. Step 2: Convert to fraction form
    5,183.46/7,725.18 = 5,175.23/x
  3. Step 3: Cross multiply
    5,183.46x = 7,725.18 × 5,175.23
  4. Step 4: Simplify right side
    5,183.46x = 39,979,544.67
  5. Step 5: Solve for x
    x = 39,979,544.67/5,183.46
  6. Step 6: Final answer
    x = 7,712.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.